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Q: If the of a quadrilateral bisect each other then the quadrilateral is a parallelogram.?

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False

A quadrilateral is a parallelogram if and only if its diagonals bisect each other (this should be in any geometry book)

Theorem A: A quadrilateral is a parallelogram if its opposite sides are congruent. Theorem B: A quadrilateral is a parallelogram if a pair of opposite sides is parallel and congruent. Theorem C: A quadrilateral is a parallelogram if its diagonals bisect each other. Theorem D: A quadrilateral is a parallelogram if both pairs of opposite angles are congruent.

False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.

No.

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The missing word is "bisect".

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its rhombus.rectangle,square

Parallelogram and rhombus.

no

A quadrilateral is a parallelogram if and only if its diagonals bisect each other (this should be in any geometry book)

A parallelogram.

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